Mathematics
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OpenStudy (calculusxy):
MEDAL for help in Algebra 1
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OpenStudy (calculusxy):
Please don't mind the gibberish math around the problem :)
Vocaloid (vocaloid):
rate of change formula from a to b is
f(b) - f(a) divided by (b-a)
Vocaloid (vocaloid):
so, since we want the change from x = 0 to x = 3, we use the formula
f(3) - f(0)
all divided by 3
Vocaloid (vocaloid):
\[\frac{ f(3)-f(0) }{3 }\]
Vocaloid (vocaloid):
so, do you want to try calculating that for g(x) on your own?
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OpenStudy (calculusxy):
I got:
(3 - 0)/3 = 3/3 =1
OpenStudy (calculusxy):
I know. I did it in \(g(x) = x^2 - 2x\)
I did \(g(0) = 0^2 - 2(0) = 0\) and \(g(3) = 3^2 - 2(3) = 3\)
Vocaloid (vocaloid):
good, now do the same thing for h and f
OpenStudy (calculusxy):
For \(f(x)\) it would be 6/3 = 2
Vocaloid (vocaloid):
good
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Vocaloid (vocaloid):
h?
OpenStudy (calculusxy):
And for h(x) it would be 7/3 = 2.33333
Vocaloid (vocaloid):
good, so in order it's f, h and g
Vocaloid (vocaloid):
wait wait
OpenStudy (calculusxy):
There's no option like that
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Vocaloid (vocaloid):
they want greatest to least
Vocaloid (vocaloid):
so reverse what i told you
Vocaloid (vocaloid):
g, h, then f
OpenStudy (calculusxy):
There's nothing of that
Vocaloid (vocaloid):
ah i got it
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Vocaloid (vocaloid):
g = 1
f = 2
h = 2.3
so
h, f ,g (4th option)
OpenStudy (calculusxy):
Thank you :)